SOLUTION: Rewrite (below) in simplest form using radicals (instead of rational exponents). I need to change them into radical form then multiply/divide them together and simplify. (I was un

Algebra ->  Radicals -> SOLUTION: Rewrite (below) in simplest form using radicals (instead of rational exponents). I need to change them into radical form then multiply/divide them together and simplify. (I was un      Log On


   

Question 1096506: Rewrite (below) in simplest form using radicals (instead of rational exponents).
I need to change them into radical form then multiply/divide them together and simplify. (I was unable to put a multiplication sign between all three so please consider them like they have multiplication symbols in between them).
Here is an imgur link just in case the images are cut: https://imgur.com/a/1geBT
%28125%5E%282%2F3%29%2Ax%5E%288%2F5%29%29%2F%28y%5E2z%29%28y%5E%283%2F2%29%2Az%5E%28-1%2F3%29%29%2F%28x%29%28x%5E%281%2F2%29%2Az%5E%284%2F3%29%29%2F%28y%5E%28-3%2F4%29%29
Found 2 solutions by Alan3354, MathTherapy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
%28125%5E%282%2F3%29%2Ax%5E%288%2F5%29%29%2F%28y%5E2z%29%28y%5E%283%2F2%29%2Az%5E%28-1%2F3%29%29%2F%28x%29%28x%5E%281%2F2%29%2Az%5E%284%2F3%29%29%2F%28y%5E%28-3%2F4%29%29
Just do 1 step at a time.
= 25x%5E%288%2F5%29%2F%28y%5E2z%29%28y%5E%283%2F2%29%2Az%5E%28-1%2F3%29%29%2F%28x%29%28x%5E%281%2F2%29%2Az%5E%284%2F3%29%29%2F%28y%5E%28-3%2F4%29%29
Combine the z terms in the NUM.
= %2825x%5E%288%2F5%29%2Az%29%2F%28y%5E2z%29%28y%5E%283%2F2%29%29%2F%28x%29%28x%5E%281%2F2%29%29%2F%28y%5E%28-3%2F4%29%29
Cancel z terms
= %2825x%5E%288%2F5%29%29%2F%28y%5E2%29%28y%5E%283%2F2%29%29%2F%28x%29%28x%5E%281%2F2%29%29%2F%28y%5E%28-3%2F4%29%29
Cancel x in the DEN
= %2825x%5E%283%2F5%29%29%2F%28y%5E2%29%28y%5E%283%2F2%29%29%28x%5E%281%2F2%29%29%2F%28y%5E%28-3%2F4%29%29
Combine y terms in the DEN
= %2825x%5E%283%2F5%29%29%28y%5E%281%2F4%29%29%28x%5E%281%2F2%29%29
Cancel y terms
Combine x terms
= 25x%5E%2811%2F10%29y%5E%281%2F4%29%29
= 25x%2Aroot%2810%2Cx%29%2Aroot%284%2Cy%29
======================
There's a good chance it's correct.

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!
Rewrite (below) in simplest form using radicals (instead of rational exponents).
I need to change them into radical form then multiply/divide them together and simplify. (I was unable to put a multiplication sign between all three so please consider them like they have multiplication symbols in between them).
Here is an imgur link just in case the images are cut: https://imgur.com/a/1geBT
%28125%5E%282%2F3%29%2Ax%5E%288%2F5%29%29%2F%28y%5E2z%29%28y%5E%283%2F2%29%2Az%5E%28-1%2F3%29%29%2F%28x%29%28x%5E%281%2F2%29%2Az%5E%284%2F3%29%29%2F%28y%5E%28-3%2F4%29%29


 ----- Converting matrix%282%2C1%2C+%22%22%2C+125%5E%282%2F3%29%29 to 25

The easiest thing is to MULTIPLY the LIKE-TERMS in the NUMERATORS and DENOMINATORS. Doing this results in:

 

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